196=.5(2x)(x)

Solution for 196=.5(2x)(x) equation:

Simplifying
196 = 0.5(2x)(x)

Remove parenthesis around (2x)
196 = 0.5 * 2x(x)

Multiply 0.5 * 2
196 = 1x * x

Multiply x * x
196 = 1x2

Solving
196 = 1x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
196 + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
196 + -1x2 = 0

Add '-196' to each side of the equation.
196 + -196 + -1x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -1x2 = 0 + -196
-1x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-1x2 = -196

Divide each side by '-1'.
x2 = 196

Simplifying
x2 = 196

Take the square root of each side:
x = {-14, 14}